Atkin-Lehner |
2- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398k |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
519168 |
Modular degree for the optimal curve |
Δ |
-542323886703872 = -1 · 28 · 72 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12587,-978719] |
[a1,a2,a3,a4,a6] |
j |
270359375/664832 |
j-invariant |
L |
4.2947677505909 |
L(r)(E,1)/r! |
Ω |
0.26842301791736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125398e1 |
Quadratic twists by: 13 |